Xandra and Seth received $142 in total from their father. After Xandra spent ³₄ of her money and Seth deposited ³₇ of his money into his savings account, Xandra had four times as much money as Seth.

1. Find the amount of money Xandra received from her father.
2. If Seth' savings increased by 25% after the deposit, how much was Seth' savings in the bank in the end?

	Xandra	Seth	Total
Before	4x16 = 64 u	7 u	$142
Change	- 3x16 = - 48 u	- 3 u
After	1x16 = 16 u	4 u
Comparing Xandra and Seth in the end	4x4	1x4

Fraction of Xandra's money left
= 1 - ³₄
= ¹₄

Fraction of Seth's money left
= 1 - ³₇
= ⁴₇

The amount that Xandra had in the end is repeated.  Make the amount that Xandra had in the end the same. LM of 4 and 1 is 16.

Total amount given to Xandra and Seth
= 64 u + 7 u
= 71 u

71 u = 142

1 u = 142 ÷ 71 = 2

Amount that Xandra received from her father
= 64 u
= 64 x 2
= $128

(b)
Amount that Seth deposited
= 3 u
= 3 x 2
= $6

Savings that Seth had at first = 100%

Savings that Seth had in the end
= 100% + 25%
= 125%

25% of the savings = 6
1% of the savings = ⁶₂₅
125% of the savings = 125 x ⁶₂₅ = 30

Seth's savings in the end = $30

Answer(s): (a) $128; (b) $30